Question
In: Physics
A rocket is fired straight upward, starting from rest with an acceleration of 25.0 m/s2. It...
A rocket is fired straight upward, starting from rest with an acceleration of
25.0 m/s2. It runs out of fuel at the end of 4.00 s and continues to coast
upward, reaching a maximum height before falling back to Earth. (a) Find the
rocket’s height when it runs out of fuel; (b) find the rocket’s velocity when it
runs out of fuel; (c) find the maximum height the rocket reaches; (d) find the
rocket’s velocity the instant before the rocket crashes into the ground; and
(e) find the total elapsed time from launch to ground impact.
Solutions
genius_generous answered 2 years agoRelated Solutions
2. A rocket is fired vertically with an upward acceleration of 20 m/s2. After 25 s,...
2. A rocket is fired vertically with an upward acceleration of
20 m/s2. After 25 s, the engine shuts off and the rocket
continues as a free particle.
(a) Find the highest point the rocket reaches.
(b) Find the total time the rocket is in the air.
(c) Draw the graph acceleration versus time for the motion.
d) Draw the graph velocity versus time for the motion.
(e) Draw the graph position versus time for the motion.
(f) On each...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its
acceleration for the first three seconds is given by a(t) = 60t
ft/s2 , at which time the fuel is exhausted and it becomes a freely
“falling” body and falls to the ground.
(a) Determine the position function s(t) for all times t >
0.
(b) What is the maximum height achieved by the rocket? (
c) At what value of t does the rocket land?
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its
acceleration for the first three seconds is a(t)=96t, at which time
the fuel is exhausted and it becomes a freely "falling" body. 1919
seconds later, the rocket's parachute opens, and the (downward)
velocity slows linearly to −16 ft/s in 5 s. The rocket then
"floats" to the ground at that rate.
(a) Determine the position function s and the velocity function
v(for all times t).
v(t)=
if 0≤t≤3
...
The acceleration of a rocket traveling upward is given by a = (8 + 0.02s) m/s2,...
The acceleration of a rocket traveling upward is given by a = (8
+ 0.02s) m/s2, where s is in meters.(Figure 1). Initially, v = 0
and s = 0 when t = 0.
Determine the time needed for the rocket to reach an altitude of
s = 100 m .
A 500 kg elevator accelerates upward at 1.9 m/s2 for 20 m, starting from rest. a)...
A 500 kg elevator accelerates upward at 1.9 m/s2 for 20 m,
starting from rest.
a) How much work does gravity do on the elevator?
b) How much work does the tension in the elevator cable do on
the elevator?
c) What is the elevator’s kinetic energy after traveling 20
m?
A model rocket blasts off from the ground, rising straight upward with a constant acceleration that...
A model rocket blasts off from the ground, rising straight
upward with a constant acceleration that has a magnitude of 91.3
m/s2 for 1.79 seconds, at which point its fuel abruptly runs out.
Air resistance has no effect on its flight. What maximum altitude
(above the ground) will the rocket reach?
A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0...
A rocket, initially at rest on the ground, accelerates upward
with a constant acceleration of 94.0 m/s2 until it reaches a speed
of 1.50×102 m/s when the engines are cut off. After that the rocket
is in free-fall.
What is the maximum height reached by the rocket ?
What total time elapses between take-off and the rocket
hitting the ground?
A rocket is fired vertically upward. At the instant it reaches an altitude of 1450 m...
A rocket is fired vertically upward. At the instant it reaches
an altitude of 1450 m and a speed of 265 m/s, it explodes into
three equal fragments. One fragment continues to move upward with a
speed of 292 m/s following the explosion. The second fragment has a
speed of 396 m/s and is moving east right after the explosion. What
is the magnitude of the velocity of the third fragment? Answer in
units of m/s
A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a...
A wheel, starting from rest, rotates with a constant angular
acceleration of 1.40 rad/s2. During a certain 6.00 s
interval, it turns through 36.6 rad. (a) How long
had the wheel been turning before the start of the 6.00 s interval?
(b) What was the angular velocity of the wheel at
the start of the 6.00 s interval?
A 1800kg elevator accelerates upward at 1.40m/s2 for 10.0m , starting from rest. How much work...
A 1800kg elevator accelerates upward at 1.40m/s2 for 10.0m ,
starting from rest.
How much work does gravity do on the elevator?
How much work does the tension in the elevator cable do on the
elevator?
Use the work-kinetic energy theorem to find the kinetic energy
of the elevator as it reaches 10.0m .
What is the speed of the elevator as it reaches 10.0m ?
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